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Finding the Fourth Proportional to 6,939.98, 9,577.09 and 3,796.13

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Solution

The fourth proportional to 6,939.98, 9,577.09 and 3,796.13 is: 5,238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.98 : 9,577.09 = 3,796.13 : x
  2. Step 2: Convert to fraction form
    6,939.98/9,577.09 = 3,796.13/x
  3. Step 3: Cross multiply
    6,939.98x = 9,577.09 × 3,796.13
  4. Step 4: Simplify right side
    6,939.98x = 36,355,821.29
  5. Step 5: Solve for x
    x = 36,355,821.29/6,939.98
  6. Step 6: Final answer
    x = 5,238.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.